Abstract
We consider the dynamics of a thin film of a perfectly soluble anti-surfactant solution in the limit of large capillary and Péclet numbers in which the governing system of nonlinear equations is purely hyperbolic. We construct exact solutions to a family of Riemann problems for this system, and discuss the properties of these solutions, including the formation of both simple-wave and uniform regions within the flow, and the propagation of shocks in both the thickness of the film and the gradient of the concentration of solute.
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